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Nonlinear Dynamics and Pattern Formation

 

 

  • Chengxun Yuan, Cihan Yesil, Jingfeng Yao, Zhongxiang Zhou, Ismail Rafatov, "Transition from periodic to chaotic oscillations in a planar gas discharge-semiconductor system", Plasma Sources Sci. Technol., 29, 065009 (2020) (https://dx.doi.org/10.1088/1361-6595/ab9155) [PDF]

  • Ismail Rafatov, "Numerical evidence of spontaneous division of dissipative solitons in a planar gas discharge–semiconductor system", Phys. Plasmas, 26, 092105 (2019) (https://doi.org/10.1063/1.5112025) [PDF]

  • Ismail Rafatov, Cihan Yesil, “Transition from homogeneous stationary to oscillating state in planar gas dis-charge–semiconductor system in nitrogen: Effect of fluid modelling approach”, Phys. Plasmas, 25, 082107 (2018) (https://doi.org/10.1063/1.5042352) [PDF]

  • D. Mansuroglu, I. U. Uzun-Kaymak, I. Rafatov, "An evidence of period doubling bifurcation in a dc driven semiconductor-gas discharge plasma", Phys. Plasmas, 24, 053503 (2017) (http://dx.doi.org/10.1063/1.4981232) [PDF]

  • Ismail Rafatov, "Multiple stationary filamentary states in a planar dc-driven gas discharge-semiconductor system", Phys. Plasmas, 23, 123506 (2016) (http://dx.doi.org/10.1063/1.4971226) [PDF]

  • Ismail Rafatov, "Three-dimensional numerical modelling of temporal and spatial pattern formation in a dc-driven gas discharge-semiconductor system", Plasma Sources Sci. Technol., 25, 065014 (2016) (http://dx.doi.org/10.1088/0963-0252/25/6/065014) [PDF]

  • Marat Akhmet, Ismail Rafatov, Mehmet Onur Fen, "Extension of spatiotemporal chaos in glow discharge-semiconductor systems", CHAOS, 24, 043127 (2014) (http://dx.doi.org/10.1063/1.4902077) [PDF]

  • I.Rafatov, D.Sijacic, U.Ebert, "Spatiotemporal patterns in a dc semiconductor-gas-discharge system: Stability analysis and full numerical solutionss”, Phys. Rev. E, 766, 036206 (2007). [PDF] 

  • D.Sijacic, U.Ebert, I.Rafatov, “Oscillations in dc driven barrier discharges: Numerical solutions, stability analysis, and phase diagram”, Phys. Rev. E, 71, 066402 (2005)  [PDF]

  • D.Sijacic, U.Ebert, I.Rafatov, “Period doubling cascade in glow discharges: Local versus global differential conductivity”, Phys. Rev. E, 70, 056220 (2004)  [PDF] 

  • U. Ebert, I.R. Rafatov, D.D. Sijacic, "Structure formation in a DC-driven "barrier" discharge: stability analysis and numerical solutions", XXVIIIth ICPIG, July 15-20, 2007, Prague, Czech Repblic.

  • I.Rafatov, D.Sijacic, U.Ebert, “Spatio-temporal patterns in a DC “barrier” discharge system: numerical solutions and stability analysis”, Proc. 18th Europhysics Conf. on the Atomic and Molecular Phys. of Ionised Gases, Lecce, Italy, p. 269-270 (2006)

  • I.Rafatov, ''Nonequilibrium pattern formation in a gas-discharge-semiconductor system: numerical solutions and stability analysis in three dimensions'', I. Disiplinlerarası Kaos Sempozyumu ''Kaos ve Karmaşık Sistemler'', İstanbul, p. 1-13 (2006)

 

    Mathematical Modelling of Electrical Discharges in Gases

     

  • C. Kusoglu Sarikaya, I. Rafatov, A. A. Kudryavtsev, "PIC/MCC analysis of a photoresonance plasma sus-tained in a sodium vapor", Phys. Plasmas, 24, 083505 (2017) [PDF]

  • Murat Tanişli, İsmail Rafatov, Neslihan Şahin, Sercan Mertadam, Süleyman Demir, "Spectroscopic study and numerical simulation of low-pressure radio-frequency capacitive discharge with argon downstream", Canadian Journal of Physics, 95 (2), 190-200 (2017) (http://dx.doi.org/10.1139/cjp-2016-0597)

  • C. Kusoglu Sarikaya, I. Rafatov, and A. A. Kudryavtsev, "Particle in cell/Monte Carlo collision analysis of the problem of identification of impurities in the gas by the plasma electron spectroscopy method", Phys. Plasmas, 23, 063524 (2016) (http://dx.doi.org/10.1063/1.4954917) [PDF]

  • E. Eylenceoglu, I. Rafatov, A. A. Kudryavtsev, "Two-dimensional hybrid Monte Carlo–fluid modelling of dc glow discharges:  Comparison with fluid models, reliability, and accuracy", Phys. Plasmas, 22, 013509 (2015) (http://dx.doi.org/10.1063/1.4906361) [PDF]

  • E. Erden, I. Rafatov, "Particle in Cell/Monte Carlo Collision Method for Simulation of RF Glow Discharges: Effect of Super Particle Weighting", Contrib. Plasma Phys., 54, 626 (2014)  [PDF]

  • I. Rafatov, E. A. Bogdanov, A. A. Kudryavtsev, "Account of nonlocal ionization by fast electrons in the fluid models of a direct current glow discharge", Phys. Plasmas, 19, 093503 (2012) (http://dx.doi.org/10.1063/1.4752419) [PDF] 

  • I. Rafatov, E. A. Bogdanov, A.A. Kudryavtsev, "On the accuracy and reliability of different fluid models of the direct current glow discharge", Phys. Plasmas, 19, 033502 (2012)  (http://dx.doi.org/10.1063/1.3688875) [PDF]

  • I. Rafatov, "Radiative gas-dynamic model of a continuous optical discharge in a gravitational field: quasi-optical approximation", J. Phys. D: Appl. Phys., 42, 155207 (2009).  [PDF]

  • I. Rafatov, "Effect of focusing geometry on the continuous optical discharge properties", Phys. Lett. A, 337, 3336-3341 (2009). [PDF]

  • I. Rafatov, B. Yedierler, E. Kulumbaev, "Modelling of a continuous optical discharge stabilized by a gas flow in quasi-optical approximation", J. Phys. D: Appl. Phys., 42, 055212 (2009).  [PDF]

  • I.R. Rafatov, “On the Modelling of a Nonequilibrium Spherical Microwave Discharge at Atmospheric Pressure”, Contrib. Plasma Phys., 47, 139–146 (2007). [PDF]

  • I.R. Rafatov, D. Akbar, S. Bilikmen, Modelling of non-uniform DC driven glow discharge in argon gas, Phys. Let. A, 367, 114–119 (2007). [PDF]

  • I.R.Rafatov, V.M.Lelevkin, “Self-consistent model of thermal and ionization non-equilibrium spherical microwave discharge”, J. Phys. D: Appl. Phys, 38 , 2227-2236 (2005). [PDF]

  • I.R.Rafatov, S. Çakır, “Modelling of a nonequilibrium spherical electric discharge under higher modes of incident mic ro waves”, Phys. Lett. A, 338 , P. 353-365 (2005). [PDF]

  • I.R.Rafatov, P.V.Kozlov, V.M.Lelevkin, “Modelling of a spherical electric discharge at atmospheric pressure under higher modes of incident microwaves”, Contrib. Plasma Phys., 45, No. 2, 139 – 154 (2005). [PDF]

  • I.R.Rafatov, V.M.Lelevkin, “Self-consistent model of non-equilibrium spherical microwave dharge”, J. Phys. D: Appl. Phys, 37 , 2876-2885 (2004). [PDF]

  • I. Rafatov, E. Kulumbaev, B. Yedierler, "Modelling of a Continuous Optical Discharge in a Gas Flow: Quasi-Optical Approximation", Türk Fizik Derneği 24. Uluslararası Fizik Kongresi, 28-31 Ağustos, 2007, Malatya, Turkiye.

  • I.R. Rafatov, ''Modelling of a thermal and ionization nonequilibrium spherical electric discharge under higher modes of incident microwaves'', Proc. 18th Europhysics Conf. on Atomic and Molecular Phys. of Ionised Gases, Lecce, Italy, P. 237-238 (2006).

  • I. R. Rafatov, "Modelling of a nonequilibrium spherical electric discharge under higher modes of incident microwaves", Proc. VI Int. Workshop Microwave Discharges: Fundaments and applications, Zvenigorod, Russia, P. 101-106 (2006).

  • V.M.Lelevkin, I.R.Rafatov, “Modelling of non-equilibrium spherical microwave discharge”, Proc. Vth Int. Workshop on Microwave Discharges: Fundamentals and Applications, Greifswald, Germany, P.134-138 (2003).

  • V.M.Lelevkin, I.R.Rafatov, “On the modelling of non-equilibrium spherical microwave discharge”, Proc. XXVI Int. Conf. On Phenomena in Ionized Gases, Greifswald, Germany, V.3, P.105-106, (2003).

 

Microwave Processing of Materials

  • P.V. Kozlov, I.R. Rafatov, E.B. Kulumbaev, V.M. Lelevkin, “On modelling of microwave heating of a ceramic material”, J. Phys. D: Appl. Phys. 40 2927–2935 (2007). [PDF]

  • P.V.Kozlov, E.B.Kulumbaev, V.M.Lelevkin, I.R.Rafatov, “Microwave heating of ceramic materials”, Proc. Int. Seminar on Problems of modelling and development of technology of production silicon-carbide, silicon-nitride, wollastonite, zirconium and other ceramics, Bishkek, Kyrgyzstan (2005). (in Russian)

 

Numerical Methods for ODE’s and PDE’s and Computing

 

 

 

 

 

  • I.R.Rafatov, S.N.Sklyar, “Difference Schemes for the class of singularly perturbed boundary value problems” , Appl.Num. Anal.& Comp.Math ., 1, P.223-230 (2004). [PDF]

  • S.N.Sklyar, I.R.Rafatov, “Finite-difference schemes for singularly perturbed boundary value problems associated with solutions to spherically symmetric elliptic equations”, J. Comp. Math. Math. Phys., 9, P.1397-1407 (2002). [PDF]

  • S.N. Sklyar, I.R. Rafatov, “Difference Schemes for the class of singularly perturbed boundary value problems”, Proc. Int. Conf. on Num. Analysis & Comp. Math., Cambridge, P.145-149, UK (2003).

  • S.N. Sklyar, I.R. Rafatov, “On the computational methods for singularly perturbed boundary problems”, Proc. Third Int. Conf. on Math. & Comp. App. ICMCA 2002, Konya, Turkey, P.5-11 (2002).

 

OTHER PROCEEDINGS AND PUBLICATIONS

 

  • I.R.Rafatov, “Meskhetian Diaspora in Kyrgyzstan: Problems of repatriation to historical motherland”, Proc. Second Conference ‘’ Repatriation, rehabilitation and reintegration problems of population, deported from the Southern Georgia in 1944 ”, 215-224, 224-233, Tbilisi, 2001 (in Russian and Georgian)

  • I.R.Rafatov, “Meskhetia and meskhetians”, Publishing of The Academy of Sci. of Kyrg., Bishkek, 1996 (booklet of 44 pages in Russian)

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